What are the zeros of the following quadratic equation: y = 6x2 - 17x - 3
Answer:
[tex]\displaystyle x=-\frac{1}{6}, 3[/tex]
Step-by-step explanation:
Hi there!
[tex]y = 6x^2 - 17x - 3[/tex]
Factor by grouping:
[tex]y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)[/tex]
Let y=0. Apply the zero product property:
[tex]0 = (6x+1)(x- 3)[/tex]
[tex]6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}[/tex]
AND
[tex]x-3=0\\x=3[/tex]
I hope this helps!
STEM The diagram shows the structure of a molecule of sulfur dioxide. The ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always the same. How many oxygen atoms (O) are there when there are 6 sulfur atoms (S)? Explain how you got your answer.
The ratios of oxygen atom and sulfur atom is an illustration of equivalent ratios.
There are 12 oxygen atoms, when the number of sulfur atom is 6.
From the diagram, we have:
[tex]S = 1[/tex]
[tex]O_x = 2[/tex]
So, the ratio is:
[tex]S : O_x = 1 : 2[/tex]
When there are 6 sulfur atoms, the equation becomes
[tex]6 : O_x = 1 : 2[/tex]
Express as a fraction
[tex]\frac{O_x}{6}= \frac{2}{1}[/tex]
Multiply both sides by 6
[tex]O_x = 2 \times 6[/tex]
[tex]O_x =12[/tex]
Hence, there are 12 oxygen atoms
Read more about equivalent ratios at:
https://brainly.com/question/18230617
Given that S=n/2(2a+(n-1)d). If a=4,d=3 and n=20 find the value of S
Answer:
s=650
Step-by-step explanation:
s=n/2(2a+(n-1)d)
s=20/2[2x4+(20-1)3]
s=20/2(2x4+19x3)
s=20/2(8+57)
s=20/2x65
s=10x65
s=650
Answer:
s=650
Step-by-step explanation:
Sum of 'n' terms formula is given by:-
s=n/2(2a+(n-1)d)
s=20/2[2x4+(20-1)3]
s=20/2(2x4+19x3)
s=20/2(8+57)
s=20/2x65
s=10x65
s=650
find the area of this rectangle
The answer is
2x^2+1x-45
Find the Algebric Equation
The sum of the product of 5 and a number, and 8
Answer:
5x+8
Step-by-step explanation:
First find the product of 5 and a number
5x
Then sum it with 8
5x+8
find the center of a circle with the equation: x^2+y^2-32x-60y+1122=0
A. (24, 30)
B. (13, 20)
C. (14, 28)
D. (16, 30)
Answer:
-32x-60y+1122=0
-(32x+60y-1122)=0
32x+60y-1122=0
by factorize
Answer:
24,30
Step-by-step explanation:
which one is the 25th island of Greece?
1. amorgos
2. sus island
3. the hair of dog
Answer:
obviously sus island
Step-by-step explanation:
*(30 points)* One pump can fill a tank of water in 2 hours. A second tank can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?
The first pump fills one tank in 2 hours, so it works at a unit rate of (1 tank)/(2 hours) = 0.5 tanks/hour.
The second pump takes 3 hours to fill the same tank, so it works at a rate of (1 tank)/(3 hours) ≈ 0.33 tanks/hour.
Working together, the pumps can fill one tank at a rate of
(1/2 + 1/3) tanks/hour = (3/6 + 2/6) tanks/hour = 5/6 tanks/hour ≈ 0.83 tanks/hour
Then the time it takes both pumps to fill one tank is
(1 tank) / (5/6 tanks/hour) = 6/5 hours = 1.2 hours = 72 minutes
Concrete is made by mixing screenings cement and sand in the ratio 3:1:15. How much sand would be needed to make 125 tonnes of concrete?
If a bicyclist rides for 100 minutes at an average speed of 14 miles per hour, how far was the ride, to 1 decimal place?
Answer:
23.3 miles
Step-by-step explanation:
- convert 1hour = 60minutes
14 miles per 1 hour , is the same as
14 miles per 60 minutes
-write an equivalent fraction to keep the proportion
14 miles/60 minutes = ? miles / 100 minutes
-cross multiply , and divide by 60
? = (14*100) / 60 = 23. 3333333...
-round to 1 decimal place
23.3 miles
Mr. Ruiz has $438.60 taken from
his account each month to pay for
the loan on his car. What is the
change in the account caused by
4 months of payments?
Can someone help me with this please
Answer:
B
Step-by-step explanation:
You need a number that when multiplied by itself 3 times gives you 512. So the length and width of the bottom layer must be 8 by 8 which is 64.
The layers are 8 cm high, so that's the third number you multiply together.
Volume = 8*8*8 = 64
But the answer you want is 8*8 which is 64
What is the value of g?
Answer:
56 degrees
Step-by-step explanation:
1. Notice how g is part of a right angle, which equals 90 degrees.
2. Notice how the 34 degree angle on the other side is also part of a 90 angle.
3. Notice how the 2 right angles are vertical to each other, meaning they are the same.
4. Subtract 34 from 90.
5. g=56 degrees
Hope this helps!
-Stella
I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.
*It's kind of of hard to see if g is referring to both angle degrees or not.
With explanation please thank you
find the domain
PLEASE AND THANK YOUUUU
Answer:
The domain is all real numbers except x=0
Step-by-step explanation:
The domain is the values that x can take
x can be all real number except when the denominator is zero
x cannot be 0
The domain is all real numbers except x=0
What is the height of the building?
(33.85307637623) = 33.9m
the answer is option d
Correct answer gets brainliest and 5 star
Answer:
d
Step-by-step explanation:
Answer:
option D
Step-by-step explanation:
the formula for slope is: y = mx + b
where m = slope & b = y intercept
so in y = -2x + 1,
m (slope) = -2 & b (y-int) = (0,1)
Find the angle that has tangent,1.000.Give your answer correct to two significant figures
Answer:
Step-by-step explanation:
Degrees Radians tangent
60° π/3 √3
45° π/4 1
30° π/6 1/√3
0° 0 0
Write an equivalent expression for each of the following. Express your answers in the form a + bi or a - bi
(5 + i)(9 + i)
Help please
Answer:
44 +14i
Step-by-step explanation:
(5 + i)(9 + i)
FOIL
first 5*9 = 45
inner: 9i
outer :5i
last: i*i = i^2 = -1
Add togheter
45 + 9i+5i -1
Combine like terms
44 +14i
the velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration
Answer:
[tex]accelaration = \frac{change \: in \: veloity}{time} \\ = \frac{15 - 10}{5} \\ = \frac{5}{5} \\ = 1 \frac{m}{ {s}^{ - 2} } [/tex]
Answer: acceleration = 1 m/s²
Concept:
Here, we need to know how to calculate the acceleration of a body.
a = Δv / Δt = (v₂ - v₁) / (t₂ - t₁)
v = velocity
t = time
unit = m/s²
Solve:
Given information
v₁ = 10 m/s
v₂ = 15 m/s
Δt = 5 seconds
Given expression
a = (v₂ - v₁) / (t₂ - t₁)
Substitute values into the expression
a = (15 - 10) / 5
Simplify values in parentheses
a = 5 / 5
Simplify by division
[tex]\boxed{a=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the volume of the prism. Round to the nearest tenth.
Answer:
829.6
Step-by-step explanation:
Volume = sh
= (5+12) x 6.1 / 2 x 16
= 12 x 6.1/2 x 16
= 17 x 6.1 x 8
= 829.6 mi^3
Answered by Gauthmath
In the figure, p is parallel to s. Trasnversals t and w intersect at point L.
Statement
What is the missing reason in step 3?
a.) Alternate interior angles along parallel lines are congruent
b.) Alternate exterior angles along parallel lines are congruent
c.) Corresponding angles along parallel lines are congruent
d.) Vertical angles are congruent
Option C
Corresponding angles along parrellel lines are conguerent.
Answered by Gauthmath must click thanks and mark brainliest
Padma cycled p km on Monday. She cycled 8 km less on Tuesday. What was the distance she cycled on Tuesday?
Distance cycled on Monday = p km
Distance cycled of Tuesday
= 8 km less than the distance cycled on Monday
= p km - 8 km
= (p - 8) km
So, distance cycled of Tuesday is (p - 8) km.
translate into an algebraic expression, find the number if 10% of it is m
Answer:
m/0.1
Step-by-step explanation:
--
we want to find it
-----
10%*x=m
OF means multiply
IT is any variable
IS is equal
10%*x=m
0.1*x=m
x=m/0.1 IN THE ANSWER DO NOT INCLUDE x
14. What is the measure of angle wº? Show all work.
Answer:
100 degrees
Step-by-step explanation:
We can start by finding angle y, which is supplementary to 160.
180-160=20
angle y = 20 degrees.
With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:
angle w = angle y + 80
angle w = 20+80
angle w = 100.
The final answer is 100 degrees.
I hope this helped! :D
Answer:
Hello,
w=100
Step-by-step explanation:
y=180-160 (angles supplementaries)
y=20
w is a externel angle of the triangle is equal to the sum of non adjacents angles:
w=80+20=100
Financial maths-- multiple choice!!!
What is the risk associated with electronic money management that can arise from a bank not having enough cash on hand?
solvency
liquidity
credit risk
operational risk
Answer:
liquidity
Step-by-step explanation:
when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.
which can actually lead to insolvency.
I need help ASAP!!Explain the answer
Answer:
volume=pi times r^2 height÷3.
r is the radius, or in this case 4yd. height is 10yd. pi is 3.14
Here are the steps:
3.14r^2 height÷3
3.14×4^2 10÷3
=167.55
final answer rounded to the nearest tenth: 167.6
I apologize for getting the math wrong the first time. My formula was correct, but I needed to double check my calculations. I'm certain this is the right answer.
f) 60 students in a hostel have food enough for 30 days. If 20 more students join the hostel after 10 days, how long will the remaining food last?
Answer:
Hello,
10 days
Step-by-step explanation:
60 étudiants dans un foyer ont assez de nourriture pour 30 jours. Si 20 étudiants supplémentaires rejoignent l'auberge après 10 jours, combien de temps durera la nourriture restante ?
Let say A the quantity of food
60 students in a hostel have food enough for 30 days ==> A=k*60*30
==> k=A/1800
Let say x the duration of the food.
60 students for x days + 20 students for (x-10) days =A
[tex]k*60*x+k*20*(x-10)=A\\[/tex]
[tex]\dfrac{A*60*x}{1800} +\dfrac{A*20*(x-10)}{1800} =A\\\\60x+20x-200=1800\\\\80x=1600\\\\x=20\\[/tex]
Duration for the 80 students: 20-10=10days
How many liters of a 10% alcohol solution must be mixed with 40 liters of a 50% alcohol
solution to obtain a 40% alcohol solution?
Answer:
13 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]20+.1x=.4\left(40+x\right)[/tex]
x=40/3 = 13 [tex]\frac{1}{3}[/tex]
Mike, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Mocha Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately. How many pounds of Mocha Madness coffee will Mike put into the mixture
Answer:
mocha madness = 30 pounds
Step-by-step explanation:
Let
x = Mocha Madness
y = Sumatra Sweetness
two equations can be derived from the question
x + y = 40 equation 1
12x + 20y = 14 x 40 equation 2
Multiply equation 1 by 12
12x + 12y = 480 eqn 3
subtract eqn 2 from 3
8y = 80
y = 10
substitute for y in equation 1
x + 10 = 40
x = 40 - 10
x = 30
8y = 180
y = 10 pounds
x = 30 pounds
